University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 8 - Momentum, Impulse, and Collision - Problems - Exercises - Page 264: 8.8

Answer

(a) The magnitude of the impulse is equal to the magnitude of the change of momentum, which is 14.5 kg m/s. (b) The magnitude of the average force applied by the bat is 7250 N.

Work Step by Step

(a) $J = \Delta p = m \Delta v$ $J = (0.145~kg)[55.0~m/s-(-45.0~m/s)]$ $J = (0.145~kg)(100.0~m/s)$ $J = 14.5~kg~m/s$ The magnitude of the impulse is equal to the magnitude of the change of momentum, which is 14.5 kg m/s (b) $F~t = J$ $F = \frac{J}{t} = \frac{14.5~kg~m/s}{0.00200~s}$ $F = 7250~N$ The magnitude of the average force applied by the bat is 7250 N.
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